90169792000 has 160 divisors (see below), whose sum is σ = 225371450304. Its totient is φ = 35983360000.

The previous prime is 90169791973. The next prime is 90169792033. The reversal of 90169792000 is 29796109.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32190600 + ... + 32193400.

Almost surely, 2^90169792000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90169792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112685725152).

90169792000 is an abundant number, since it is smaller than the sum of its proper divisors (135201658304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90169792000 is an equidigital number, since it uses as much as digits as its factorization.

90169792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The spelling of 90169792000 in words is "ninety billion, one hundred sixty-nine million, seven hundred ninety-two thousand".